Critical point symmetries in boson-fermion systems. The case of shape transition in odd nuclei in a multi-orbit model

Details Critical point symmetries in boson-fermion systems. The case of shape transition in odd nuclei in a multi-orbit model Critical point symmetries in boson-fermion systems. The case of shape transition in odd nuclei in a multi-orbit model

2007-01-08

arxiv.org/abs/nucl-th/0701016v1

Phys.Rev.Lett.98:052501,2007

Physics

Nuclear Physics

Nuclear Theory

Phys. Rev. Lett. (in press)

Scientific paper

10.1103/PhysRevLett.98.052501

We investigate phase transitions in boson-fermion systems. We propose an analytically solvable model (E(5/12)) to describe odd nuclei at the critical point in the transition from the spherical to $\gamma$-unstable behaviour. In the model, a boson core described within the Bohr Hamiltonian interacts with an unpaired particle assumed to be moving in the three single particle orbitals j=1/2,3/2,5/2. Energy spectra and electromagnetic transitions at the critical point compare well with the results obtained within the Interacting Boson Fermion Model, with a boson-fermion Hamiltonian that describes the same physical situation.

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